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Finding the Fourth Proportional to 398.86, 595.38 and 350.26

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Solution

The fourth proportional to 398.86, 595.38 and 350.26 is: 522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.86 : 595.38 = 350.26 : x
  2. Step 2: Convert to fraction form
    398.86/595.38 = 350.26/x
  3. Step 3: Cross multiply
    398.86x = 595.38 × 350.26
  4. Step 4: Simplify right side
    398.86x = 208,537.80
  5. Step 5: Solve for x
    x = 208,537.80/398.86
  6. Step 6: Final answer
    x = 522.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.